101455256925 has 36 divisors (see below), whose sum is σ = 198237428064. Its totient is φ = 49190426400.

The previous prime is 101455256909. The next prime is 101455256971. The reversal of 101455256925 is 529652554101.

101455256925 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 552 + 5 + 6 + 92 + 5 = 666.

It is not a de Polignac number, because 101455256925 - 2⁴ = 101455256909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20493537 + ... + 20498486.

It is an arithmetic number, because the mean of its divisors is an integer number (5506595224).

Almost surely, 2^101455256925 is an apocalyptic number.

101455256925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101455256925 is a deficient number, since it is larger than the sum of its proper divisors (96782171139).

101455256925 is a wasteful number, since it uses less digits than its factorization.

101455256925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40992050 (or 40992042 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 101455256925 in words is "one hundred one billion, four hundred fifty-five million, two hundred fifty-six thousand, nine hundred twenty-five".